Radon变换的抽样取值与小波

SAMPLING OF RADON TRANSFORM AND WAVELET

Radon变换在实际应用中必须考虑抽样取值的问题,通信理论中常用的Shannon取样定理在地球物理学等领域中并不适用,因为它要求函数是频谱有限的.本义介绍利用小波理论建立新的取样定理的方法,这一方法的优点在于可以根据具体问题的要求选取适当的基本空间V_0,从而获得较佳的抽样插值效果.

In practical application of Radon Transform, we must consider the sampling problem. The Shannon sampling theorem is not suitable in geophysics, because it needs the function considered being band-limited. In this paper, the method of establishing new sampling theorem by wavelet theory is studied. The superiority of this method is that we can select appropriate fundamental space Vo according to the practical demands, and gain mort accurate results.